2242324210400 has 144 divisors (see below), whose sum is σ = 5609942534448. Its totient is φ = 874685952000.

The previous prime is 2242324210387. The next prime is 2242324210417. The reversal of 2242324210400 is 40124232422.

It is a super-3 number, since 3×2242324210400³ (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2242324210400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85955759 + ... + 85981841.

It is an arithmetic number, because the mean of its divisors is an integer number (38957934267).

Almost surely, 2^{2242324210400} is an apocalyptic number.

2242324210400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242324210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2804971267224).

2242324210400 is an abundant number, since it is smaller than the sum of its proper divisors (3367618324048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2242324210400 is a wasteful number, since it uses less digits than its factorization.

2242324210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28765 (or 28752 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 2242324210400 its reverse (40124232422), we get a palindrome (2282448442822).

The spelling of 2242324210400 in words is "two trillion, two hundred forty-two billion, three hundred twenty-four million, two hundred ten thousand, four hundred".